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Finding the Fourth Proportional to 9,799.49, 14,700.18 and 3,224.09

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Solution

The fourth proportional to 9,799.49, 14,700.18 and 3,224.09 is: 4,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.49 : 14,700.18 = 3,224.09 : x
  2. Step 2: Convert to fraction form
    9,799.49/14,700.18 = 3,224.09/x
  3. Step 3: Cross multiply
    9,799.49x = 14,700.18 × 3,224.09
  4. Step 4: Simplify right side
    9,799.49x = 47,394,703.34
  5. Step 5: Solve for x
    x = 47,394,703.34/9,799.49
  6. Step 6: Final answer
    x = 4,836.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.